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Классификация миноров циркулянтных матриц для ускорения проверки признака MDS

.
Malakhov S.
Language: Russian
Text on another site
Keywords: MDS матрицациркулянтная матрица

In book

Межвузовская научно-техническая конференция студентов, аспирантов и молодых специалистов имени Е.В. Арменского. Материалы конференции
М.: МИЭМ НИУ ВШЭ, 2022.
Similar publications
The construction of circulant matrices related to MDS matrices
Malakhov S., Rozhkov M., Prikladnaya Diskretnaya Matematika 2022 No. 56 P. 17–27
The objective of this paper is to suggest a method of the construction of circulant matrices, which are appropriate for being MDS (Maximum Distance Separable) matrices utilising in cryptography. Thus, we focus on designing so-called bi-regular circulant matrices, and furthermore, impose additional restraints on matrices in order that they have the maximal number of some ...
Added: September 1, 2022
Experimental Methods for Constructing MDS Matrices of a Special Form
Rozhkov M., Malakhov S., Journal of Applied and Industrial Mathematics (перевод журналов "Сибирский журнал индустриальной математики" и "Дискретный анализ и исследование операций") 2019 Vol. 13 No. 2 P. 302–309
MDS matrices are widely used as a diffusion primitive in the construction of block type encryption algorithms and hash functions (such as AES and GOST 34.12–2015). The matrices with the maximum number of 1s and minimum number of different elements are important for more efficient realizations of the matrix-vector multiplication. The article presents a new method for the MDS ...
Added: June 10, 2019
Экспериментальные оценки числа MDS матриц специального вида над конечными полями.
Malakhov S., В кн.: Межвузовская научно-техническая конференция студентов, аспирантов и молодых специалистов им. Е.В. Арменского.: МИЭМ НИУ ВШЭ, 2018. С. 218–220.
Нижеследующая работа посвящена экспериментальному оцениванию числа MDS матриц специального вида над конечными полями. Оценки получены на основании серии экспериментальных построений MDS матриц с помощью ПЭВМ и системы компьютерной алгебры Wolfarm Mathematica. ...
Added: December 2, 2018
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